9+6x-x^2=x-5

Simple and best practice solution for 9+6x-x^2=x-5 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 9+6x-x^2=x-5 equation: 


Simplifying
9 + 6x + -1x2 = x + -5

Reorder the terms:
9 + 6x + -1x2 = -5 + x

Solving
9 + 6x + -1x2 = -5 + x

Solving for variable 'x'.

Reorder the terms:
9 + 5 + 6x + -1x + -1x2 = -5 + x + 5 + -1x

Combine like terms: 9 + 5 = 14
14 + 6x + -1x + -1x2 = -5 + x + 5 + -1x

Combine like terms: 6x + -1x = 5x
14 + 5x + -1x2 = -5 + x + 5 + -1x

Reorder the terms:
14 + 5x + -1x2 = -5 + 5 + x + -1x

Combine like terms: -5 + 5 = 0
14 + 5x + -1x2 = 0 + x + -1x
14 + 5x + -1x2 = x + -1x

Combine like terms: x + -1x = 0
14 + 5x + -1x2 = 0

Factor a trinomial.
(7 + -1x)(2 + x) = 0


Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {7, -2}

See similar equations:

| 3x*x^2= | | (6a^2+7a-5)(3a+8)= | | 2(3p-q)+(p+2q)= | | 2(3p-2q)+(p+2q)= | | x+8=x+5 | | (5b^2+2b+6)(6b+3)= | | 3a+6=5a-2 | | 2x+5-7x=-29 | | .05n+.1(2n)=9 | | 2x^2+3x=8x+3 | | 8(5d+2)=-24 | | x^2+3x=8x+3 | | 35x+27=58 | | z^2-14z+24=0 | | (x^2+5x-4)(x+8)= | | 6x+8=80-x | | 5x-3=50x-53 | | (5p^2-3p-8)(8p-3)= | | -5+4(1-3b)=30 | | 9x+47=84-x | | 18=-8r+6r | | 8k+4+2=-15 | | 2x=1(x-4) | | 2p^2-18p+23=0 | | X+9y=-3 | | 6(n-11)=12+2(2n-3) | | X+2+x=116 | | 8x=135 | | -(8-4)=9 | | 2(3x+4)=3x+1 | | a+(a+3)+(b*3)=2 | | 3x-5x=-6 |

Equations solver categories